Nonlinear integral inequalities involving Ψ-Hilfer fractional integrals and iterated fractional integrals, with applications to Ψ-Caputo fractional differential equations
In this paper, modifications of the well-known desingularization method proposed by the first author are used to derive nonlinear versions of the Henry–Gronwall inequality for integral inequalities with the Ψ-Hilfer fractional integral, as well as nonlinear integral inequalities with iterated Ψ-Hilf...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2025.1.30 |
| Online Access: | http://acta.bibl.u-szeged.hu/88910 |
| LEADER | 01508nas a2200253 i 4500 | ||
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| 005 | 20251119143747.0 | ||
| 008 | 251119s2025 hu o 000 eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2025.1.30 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Medved’ Milan | |
| 245 | 1 | 0 | |a Nonlinear integral inequalities involving Ψ-Hilfer fractional integrals and iterated fractional integrals, with applications to Ψ-Caputo fractional differential equations |h [elektronikus dokumentum] / |c Medved’ Milan |
| 260 | |c 2025 | ||
| 300 | |a 24 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this paper, modifications of the well-known desingularization method proposed by the first author are used to derive nonlinear versions of the Henry–Gronwall inequality for integral inequalities with the Ψ-Hilfer fractional integral, as well as nonlinear integral inequalities with iterated Ψ-Hilfer fractional integrals. The results are applied to obtain bounds for solutions of initial value problems for nonlinear ΨCaputo fractional differential equations, and sufficient conditions for the non-existence of blowing-up solutions. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Pospíšil Michal |e aut |
| 700 | 0 | 1 | |a Brestovanská Eva |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/88910/1/ejqtde_2025_030.pdf |z Dokumentum-elérés |